Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490de |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-1734447445526250000 = -1 · 24 · 35 · 57 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-754166,259864500] |
[a1,a2,a3,a4,a6] |
j |
-58153757003329/2126250000 |
j-invariant |
L |
5.2708655051299 |
L(r)(E,1)/r! |
Ω |
0.26354327525716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470cv1 35490bo1 |
Quadratic twists by: -3 13 |